How To Use Algebraic number In A Sentence
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Herbrand also worked on field theory considering abelian extensions of algebraic number fields.
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Hensel was interested in the exact power of a prime which divides the discriminant of an algebraic number field.
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Remak made important contributions to algebraic number theory.
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Back in Berlin he worked on his doctoral thesis on algebraic number theory under Dirichlet's supervision.
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The theorem states that all central division algebras over algebraic number fields are cyclic algebras.
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- Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity.
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Rademacher also wrote important papers on Dedekind sums and investigated many problems relating to algebraic number fields.
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Hensel was interested in the exact power of a prime which divides the discriminant of an algebraic number field.
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Herbrand also worked on field theory considering abelian extensions of algebraic number fields.
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He also published results on algebras which were fundamental in the study of algebraic number fields.
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Mathematicians had regarded algebraic numbers as, in some sense, simpler than transcendental numbers.
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He restudied and generalised the mathematical theories of Kummer fields and of cyclotomic fields from the standpoint of abelian varieties over algebraic number fields.
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His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
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He also published results on algebras which were fundamental in the study of algebraic number fields.
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It also meant that Wiles' earlier work in algebraic number theory would be helpful, and that he would probably generate some interesting problems-whether or not he found a proof.
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This led to several papers, culminating in a proof twelve years later of a conjecture of Siegel giving an asymptotic relationship satisfied by the class number, the regulator, and the discriminant of an algebraic number field.
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His work on computational algebraic number theory seems to have started when he visited Caltec in 1959 and collaborated with Taussky-Todd.
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His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
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In other work he looked at problems relating properties of algebraic number fields to algebraic K-theory.
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His work followed that of Kronecker in the development of arithmetic in algebraic number fields.
